The Action Genre

Favourites:
Mad Max: Fury Road
Mad Max: The Road Warrior
Mission Impossible: Fallout 
John Wick: Chapter 3
Indiana Jones and the Raiders of the Lost Ark
Terminator 2: Judgement Day 
Aliens 
Die Hard 
Die Hard with a Vengeance
The Dirty Dozen 
Casino Royale 
Goldfinger 
The Raid 
The Raid 2
Crimson Tide 

Greatest:
Mad Max: The Road Warrior
Mad Max: Fury Road
Indiana Jones and the Raiders of the Lost Ark
Terminator 2: Judgement Day 
Aliens 
Die Hard 
John Wick 
Casino Royale 
The Bourne Ultimatum 
The Raid
Enter the Dragon 
The Matrix 
Bullit 
The French Connection 
Predator 

The Crime / Gangster Genre

Favourites vs Greatest in the ambiguously defined Crime and Gangster genre; focusing on a main character who is part of an organised crime or group of criminals.

Favourites:
Scarface (1932)
Angels With Dirty Faces
Once Upon a Time in America 
The Godfather 
Goodfellas
Dog Day Afternoon 
The Italian Job
Heat 
The Departed 
Pulp Fiction 
Snatch 
Baby Driver 
The Wolf of Wall Street
In Bruges 
Road to Perdition

Greatest:
The Godfather 
The Godfather Part II
Goodfellas 
Pulp Fiction 
The Irishman 
Once Upon a Time in America 
Scarface (1932)
Scarface (1983)
Reservoir Dogs 
The Usual Suspects
Fargo 
Heat 
Lock, Stock and Two Smoking Barrels 
Snatch 
Casino 

The Western Genre

An attempt to distinguish the difference between favourite (films that are important to the viewer) and greatest (films that are important to the industry).
We start with the Western; a group of films ideally set in the American West that chronicle the ways of frontier life.

Favourites:
The Good, the Bad and the Ugly 
For A Few Dollars More
Once Upon a Time in the West
The Great Silence
The Revenant 
The Man Who Shot Liberty Valance
Unforgiven 
The Outlaw Josey Wales
The Assassination of Jesse James by the Coward Robert Ford
McCabe and Mrs Miller
The Wild Bunch 
3:10 to Yuma (2007)
The Treasure of the Sierra Madre
The Ox-bow Incident 
The Magnificent Seven (1960)

Greatest:
Stagecoach 
My Darling Clementine 
High Noon 
Shane 
Johnny Guitar 
The Searchers
Rio Bravo 
The Man Who Shot Liberty Valance 
A Fistful of Dollars 
Once Upon a Time in the West  
The Wild Bunch 
McCabe and Mrs Miller 
Dances With Wolves
Unforgiven 
No Country for Old Men